This dissertation comprises a sequential explanatory mixed methods study seeking to understand persistence in engineering based on a student's initial mathematics course and the experience of a student who began in the lowest level mathematics course and completed an engineering degree despite struggling in mathematics courses. The first phase of…

Blind and visually impaired students who attend community colleges face challenges in learning mathematics (Forrest, 2010). Scoy, McLaughlin, Walls, and Zuppuhaur (2006) claim these students are at a disadvantage in studying mathematics due to the visual and interactive nature of the subject, and by the way mathematics is taught. In this…

Past research has shown that students have difficulty developing a robust conception of function. However, little prior research has been performed dealing with student knowledge of function composition, a potentially powerful mathematical concept. This dissertation reports the results of an investigation into student understanding and use of…

One of the most problematic issues facing community colleges is developmental education. In the last decade, more research has been conducted examining developmental education. The purpose of this study was to evaluate the effectiveness of developmental math in a rural community college setting. Is developmental math an effective intervention?…

The mathematical concept of function has been revisited and further developed with regularity since its introduction in ancient Babylonia (Kleiner, 1989). The difficulty of the concept of a function contributes to complications when students learn of functions and their graphs (Leinhardt, Zaslavsky, & Stein, 1990). To understand the concept of…

The purpose of this study was to evaluate whether supplemental instruction and online homework can improve student performance and understanding in a first-semester calculus course at a large urban four-year college. The study examined the metacognitive and study skills and posttest scores of students. The study also focused on students' and…

This research provides new insight into stereotype threat by examining a real-world intervention in community college classrooms. Practitioners need information about which interventions work in authentic school settings to implement them and begin to bring educational equity to historically marginalized students. The experimental study examined…

Background: New emerging online technologies have made dynamic changes in the structure of the online environment possible to address varying needs of diverse learners. Purpose: The purpose of this study was to identify the changes that occurred in online instructional design and strategies in mathematics education courses taught over a course of…

Remedial education in postsecondary institutions has been a topic of discussion for policymakers and educators for many years. The subject where most of the remediation occurs is mathematics. A population skilled in mathematics is necessary for many of the current job openings, and many more jobs to come, as countless occupations are becoming even…

The research literature has made calls for greater coherence and consistency with regard to the meaning and use of the term advanced mathematical thinking (AMT) in mathematics education (Artigue, Batanero, & Kent, 2007; Selden & Selden, 2005). Educators and researchers agree that students should be engaged in AMT but it is unclear…

This study uses self-generated representations (SGR)--images produced in the act of explaining--as a means of uncovering what university calculus students understand about infinite series convergence. It makes use of student teaching episodes, in which students were asked to explain to a peer what that student might have missed had they been…

The purpose of this study was to investigate the relationship between first-semester mathematics performance and fall-to-fall retention for first-time-in-college, degree-seeking community college students. The study further refined the investigation by seeking to determine if the significance of this relationship was affected by student readiness…

The current study investigated college students' content knowledge and cognitive abilities as factors associated with their algebra performance, and examined how combinations of content knowledge and cognitive abilities related to their algebra performance. Specifically, the investigation examined the content knowledge factors of computational…

The ability to succeed in Science, Technology, Engineering, and Mathematics (STEM) careers is contingent on a student's ability to engage in mathematical problem solving. As a result, there has been increased focus on students' ability to think critically by providing them more with problem solving experiences in the classroom. Much research has…

The goal of this study is to explore and characterize the effects of using a dynamic graphing utility (DGU) on conceptual understanding and attitudes toward mathematics, measured by the responses of college algebra students to an attitude survey and concepts assessment. Two sections of college algebra taught by the primary researcher are included…